
for \(z \in \mathbb {C}\) . It follows that \(f\)  is of exponential type \(2 \pi B\) . Additionally, it follows from the classical Hausdorff–Young inequality (see for instance Proposition 2.2.16 on p. 114 of [1]}) that \(f|_\mathbb {R}\in L^q(\mathbb {R})\) , where \(q\)  is the Hölder conjugate of \(p\) .
